# Prime factorization of $2505$

The calculator will find the prime factorization of $2505$, with steps shown.

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Find the prime factorization of $2505$.

### Solution

Start with the number $2$.

Determine whether $2505$ is divisible by $2$.

Since it is not divisible, move to the next prime number.

The next prime number is $3$.

Determine whether $2505$ is divisible by $3$.

It is divisible, thus, divide $2505$ by ${\color{green}3}$: $\frac{2505}{3} = {\color{red}835}$.

Determine whether $835$ is divisible by $3$.

Since it is not divisible, move to the next prime number.

The next prime number is $5$.

Determine whether $835$ is divisible by $5$.

It is divisible, thus, divide $835$ by ${\color{green}5}$: $\frac{835}{5} = {\color{red}167}$.

The prime number ${\color{green}167}$ has no other factors then $1$ and ${\color{green}167}$: $\frac{167}{167} = {\color{red}1}$.

Since we have obtained $1$, we are done.

Now, just count the number of occurences of the divisors (green numbers), and write down the prime factorization: $2505 = 3 \cdot 5 \cdot 167$.

The prime factorization is $2505 = 3 \cdot 5 \cdot 167$A.